摘要
当广义Radon变换限制在带权的平方可积函数空间时,该文构造了一类广义Radon变换的奇异值分解,给出了它们的逆变换的一些结果。
The singular value decompositions for the generalized Radon transforms are constructed when they are restricted to function spaces which are square integrable on R+n with known weight function W-n, some results about inverse transforms of the generalized Radon transforms are given. Furthermore, the inversion formulae and characteristics of their ranges are also developed.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2004年第3期293-298,共6页
Acta Mathematica Scientia
基金
宁波大学博士科研启动基金资助项目
关键词
广义Radon变换
球谐函数
奇异值分解
Generalized Radon transform
Spherical harmonics function
Singular value decomposition(SVD).